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If →A,→B,→C Are Mutually Perpendicular Vectors of Equal Magnitudes, Find the Angle Which →A+→B+→Cmake with →Aor→Bor→ - Mathematics

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Question

If `veca, vecb, vecc` are mutually perpendicular vectors of equal magnitudes, find the angle which `veca + vecb + vecc`make with `veca or vecb or vecc`

Sum

Solution

Thus, angle between `veca` and `veca+vecb+vecc` is `cos^(-1) (1/sqrt3)`

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Magnitude and Direction of a Vector
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2016-2017 (March) Delhi Set 1

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Find a vector of magnitude 9 units and perpendicular to the vectors.

`veca = 4hati - hatj + hatk` and `vecb = -2hati + hatj - 2hatk`


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